Holomorphic functions with singularities on algebraic sets.
Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Displaying similar documents to “On the order of holomorphic and -holomorphic functions.”
Holomorphic functions with singularities on algebraic sets.
On the Łojasiewicz exponent for analytic curves
Jacek Chądzyński, Tadeusz Krasiński (1998)
Banach Center Publications
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An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
Tensor fields and connections on holomorphic orbit spaces of finite groups.
Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)
Journal of Lie Theory
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Singular sets of separately analytic functions
Zbigniew Błocki (1992)
Annales Polonici Mathematici
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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.
Subordination theory for holomorphic mappings of several complex variables
Gabriela Kohr, Mirela Kohr-Ile (1996)
Banach Center Publications
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The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in into .
Resultant and the Łojasiewicz exponent
J. Chądzyński, T. Krasiński (1995)
Annales Polonici Mathematici
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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.
On branches at infinity of a pencil of polynomials in two complex variables
T. Krasiński (1991)
Annales Polonici Mathematici
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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
A note on Alexander's theorem.
Le Mau Hai, Nguyen Van Khue, Sičiak, Józef (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Uniform approximation by polynomials on real non-degenerate Weil polyhedron.
Petrosyan, A.I. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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The Gromov invariant and the Donaldson-Smith standard surface count.
Usher, Michael (2004)
Geometry & Topology
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On proper discs in complex manifolds
Barbara Drinovec Drnovšek (2007)
Annales de l’institut Fourier
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Let be a complex manifold of dimension at least which has an exhaustion function whose Levi form has at each point at least strictly positive eigenvalues. We construct proper holomorphic discs in through any given point and in any given direction.
The fixed points of holomorphic maps on a convex domain
Do Duc Thai (1992)
Annales Polonici Mathematici
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We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.